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18197797685760 = 29365721179229
BaseRepresentation
bin1000010001101000000010…
…10001000100101000000000
32101102200200210212012000000
410020310001101010220000
54341123042201421020
6102411541452000000
73555514251062400
oct410640121045000
971380623765000
1018197797685760
115886708418140
12205aa31760000
13a20077a09a14
1446cac71ac800
15218576d05090
hex108d01444a00

18197797685760 has 3360 divisors, whose sum is σ = 84434701190400. Its totient is φ = 3717191761920.

The previous prime is 18197797685723. The next prime is 18197797685779. The reversal of 18197797685760 is 6758679779181.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×181977976857602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 18197797685760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 79466365326 + ... + 79466365554.

Almost surely, 218197797685760 is an apocalyptic number.

18197797685760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18197797685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42217350595200).

18197797685760 is an abundant number, since it is smaller than the sum of its proper divisors (66236903504640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18197797685760 is an equidigital number, since it uses as much as digits as its factorization.

18197797685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2240421120, while the sum is 81.

The spelling of 18197797685760 in words is "eighteen trillion, one hundred ninety-seven billion, seven hundred ninety-seven million, six hundred eighty-five thousand, seven hundred sixty".